numpy.polynomial.legendre.legadd

numpy.polynomial.legendre.legadd(c1, c2)

Add one Legendre series to another.

Returns the sum of two Legendre series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2.

Parameters

c1, c2array_like

1-D arrays of Legendre series coefficients ordered from low to high.

Returns

outndarray

Array representing the Legendre series of their sum.

See also

legsub, legmulx, legmul, legdiv, legpow

Notes

Unlike multiplication, division, etc., the sum of two Legendre series is a Legendre series (without having to “reproject” the result onto the basis set) so addition, just like that of “standard” polynomials, is simply “component-wise.”

Examples

>>> from numpy.polynomial import legendre as L
>>> c1 = (1,2,3)
>>> c2 = (3,2,1)
>>> L.legadd(c1,c2)
array([4.,  4.,  4.])